Least Common Multiple of 199/824, 272/988, 480/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/824, 272/988, 480/158 quickly i.e. 811920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/824, 272/988, 480/158 is 811920.

LCM(199/824, 272/988, 480/158) = 811920

LCM of 199/824, 272/988, 480/158

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 199/824,272/988,480/158

Given numbers are 199/824,272/988,480/158

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 199,272,480

Least Common Multiple of Numerators i.e. LCM of 199,272,480 is 1623840.

GCF of Denominators means GCF of 824,988,158 as per the given fractions.

GCF of 824,988,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,272,480

LCM of Fractions 199/824,272/988,480/158 is 811920

2 199, 272, 480
2 199, 136, 240
2 199, 68, 120
2 199, 34, 60
199, 17, 30

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 199 x 17 x 30 = 1623840

Least Common Multiple of 199,272,480 with GCF Formula

Least Common Multiple of 199,272,480 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 199,272,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,272,480) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(199,272,480) x common factors =1 x 16 = 16

LCM(199,272,480) = ( 199 × 272 × 480 ) / 16

LCM(199,272,480) = 25981440 / 16

LCM(199,272,480) = 1623840


Lets's calculate GCF of 824,988,158

2 824, 988, 158
412, 494, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1623840/2

Therefore the LCM of Fractions 199/824,272/988,480/158 is 811920

Greatest Common Factor of 824,988,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,988,158 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 824,988,158 . The biggest common factor number is the GCF number.
So the greatest common factor 824,988,158 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 199/824, 272/988, 480/158

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 199/824, 272/988, 480/158?

Answer: LCM of Numerators as per given numbers 199/824, 272/988, 480/158 is

LCM of Numerators i.e. for 199,272,480 is 1623840

GCF of denominators i.e. for 824,988,158 is 2.

Thus, LCM of Fractions is 811920.Finally, LCM of Fractions for 199/824, 272/988, 480/158 is 811920.